Quantum polyspectra for modeling and evaluating quantum transport measurements: A unifying approach to the strong and weak measurement regime

Sifft, Markus; Kurzmann, Annika; Kerski, Jens; Schott, Rüdiger; Ludwig, Arne; Wieck, A. D.; Lorke, Axel; Geller, M.; Hägele, D.

doi:10.1103/physrevresearch.3.033123

Cited by 8 publications

(7 citation statements)

References 67 publications

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“…Here we introduce random-time sampling of system dynamics as a new way of accessing quantum dynamics. Our numerics shows that power spectra and bispectra [5] directly calculated from traces of random-time quantum measurements are fully equivalent to those from usual continuous quantum measurements. Surprisingly, this holds true even for average sampling rates below the frequencies of the system dynamics.…”

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confidence: 68%

“…A quantum mechanical model of random sampling Our theory of quantum measurements via random-sampling is based on recent progress in continuous measurement theory [12][13][14] regarding exact analytical expressions for multi-time moments and quantum polyspectra of the detector output z(t) [5,8,15]. The so-called stochastic master equation (SME) specifies the system Hamiltonian H and the measurement operator A as well as coupling to the environment and the strength of the continuous measurement [16].…”

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confidence: 99%

“…where we used the notation of [15] and [5]. The differential dW relates to a stochastic Wiener-process, where Γ(t) = dW (t)/dt is white Gaussian noise, i.e.…”

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confidence: 99%

“…(2) z (ω) can be directly estimated from the experimental z(t) (see App. B of [5]) without the need for introducing thresholds or counters for signal conditioning. Roughly speaking, the power spectrum S…”

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confidence: 99%

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Continuous Quantum Measurements via Random-Time Sampling

Sifft¹,

Hägele²

2021

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Random-time sampling of a quantum system is introduced as a new approach to continuous quantum measurements with prospects for ultra-low-perturbation measurements. Random sampling is, e.g., naturally realized in an optical spin noise experiment when weak probe-laser light exhibits random single-photon events in the detector. We show that a direct evaluation of these detector timetraces yields power spectra that are equivalent to those of the usual continuous measurement regime. Surprisingly, this holds true even for average sampling rates much lower than the typical frequency range of the measured quantum dynamics. The third-order quantum polyspectrum (bispectrum) also contains the same information as its continuous counterpart. Many applications of randomtime sampling are envisioned for high-resolution spectroscopy, circuit quantum electrodynamics, quantum sensing, and quantum measurements in general.

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confidence: 68%

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confidence: 99%

“…where we used the notation of [15] and [5]. The differential dW relates to a stochastic Wiener-process, where Γ(t) = dW (t)/dt is white Gaussian noise, i.e.…”

mentioning

confidence: 99%

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confidence: 99%

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Continuous Quantum Measurements via Random-Time Sampling

Sifft¹,

Hägele²

2021

Preprint

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“…Also, a deeper understanding of quantum transport [2] could give new insights for current issues, such as the fast readout of various qubit candidates [3,4] or quantum sensing [5,6]. The tunneling of single electrons can be studied using the random telegraph signal (RTS), where the state of a quantum system is measured in real-time and the quantum mechanical fluctuations can be statistically evaluated [7][8][9].…”

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confidence: 99%